000 04245nam a22005415i 4500
001 978-0-8176-8418-1
003 DE-He213
005 20200421111654.0
007 cr nn 008mamaa
008 141124s2015 xxu| s |||| 0|eng d
020 _a9780817684181
_9978-0-8176-8418-1
024 7 _a10.1007/978-0-8176-8418-1
_2doi
050 4 _aTK5102.9
050 4 _aTA1637-1638
050 4 _aTK7882.S65
072 7 _aTTBM
_2bicssc
072 7 _aUYS
_2bicssc
072 7 _aTEC008000
_2bisacsh
072 7 _aCOM073000
_2bisacsh
082 0 4 _a621.382
_223
100 1 _aDebnath, Lokenath.
_eauthor.
245 1 0 _aWavelet Transforms and Their Applications
_h[electronic resource] /
_cby Lokenath Debnath, Firdous Ahmad Shah.
250 _a2nd ed. 2015.
264 1 _aBoston, MA :
_bBirkh�auser Boston :
_bImprint: Birkh�auser,
_c2015.
300 _aXV, 553 p. 60 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aBrief Historical Introduction -- Hilbert Spaces and Orthonormal Systems -- Fourier Transformations and Their Applictions -- The Gabor Transform and Time-Frequency Signal Analysis -- The Wigner-Ville Distribution and Time-Frequency Signal Analysis -- The Wavelet Transforms and Their Basic Properties -- Multiresolution Analysis and Construction of Wavelets -- Extensions of Multiresolution Analysis -- Newland's Harmonic Wavelets -- Wavelet Transform Analysis of Turbulence.
520 _aThis textbook is an introduction to wavelet transforms and accessible to a larger audience with diverse backgrounds and interests in mathematics, science, and engineering. Emphasis is placed on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its applications to a wide variety of problems as encountered in various interdisciplinary areas. Numerous standard and challenging topics, applications, and exercises are included in this edition, which will stimulate research interest among senior undergraduate and graduate students. The book contains a large number of examples, which are either directly associated with applications or formulated in terms of the mathematical, physical, and engineering context in which wavelet theory arises. Topics and Features of the Second Edition: �         Expanded and revised the historical introduction by including many new topics such as the fractional Fourier transform, and the construction of wavelet bases in various spaces other than  and several new extensions of the original multiresolution analysis. �         Extensions of the classical theory of multiresolution analysis consisting of Ƥ-multiresolution analysis on the positive half-line  and non-uniform multiresolution analysis. �         Includes carefully chosen end-of-chapter exercises directly associated with applications or formulated in terms of the mathematical, physical, and engineering context and provides answers to selected exercises for additional help �         Completely updated bibliography and enlarged index Mathematicians, physicists, computer engineers, and electrical and mechanical engineers will find Wavelet Transforms and Their Applications an exceptionally complete and accessible text and reference. It is also suitable as a self-study or reference guide for practitioners and professionals.
650 0 _aEngineering.
650 0 _aFunctional analysis.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 1 4 _aEngineering.
650 2 4 _aSignal, Image and Speech Processing.
650 2 4 _aFunctional Analysis.
650 2 4 _aApplications of Mathematics.
700 1 _aShah, Firdous Ahmad.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817684174
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-8418-1
912 _aZDB-2-ENG
942 _cEBK
999 _c54600
_d54600